1. A composite figure is made up of multiple geometric shapes. To find the surface area of a composite figure, you need to find the surface area of each individual shape and then add them all together.
2. To find the surface area of a rectangular prism, you need to calculate the area of each face and then add them together. The formula for the surface area of a rectangular prism is 2(length x width + width x height + height x length).
3. To find the surface area of a cylinder, you need to calculate the area of the two circular bases and the lateral surface area. The formula for the surface area of a cylinder is 2(pi x radius^2) + 2(pi x radius x height).
4. To find the surface area of a cone, you need to calculate the area of the circular base and the lateral surface area. The formula for the surface area of a cone is pi x radius x (radius + slant height).
5. To find the surface area of a composite figure, add together the surface areas of each individual shape. Make sure to double-count any shared faces between the shapes.
6. Example: If you have a composite figure made up of a rectangular prism and a cylinder, calculate the surface area of the rectangular prism and the surface area of the cylinder separately. Then add them together to find the total surface area of the composite figure.
Unit six surface area, lesson eight surface area of composite 3-D figures answers
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